Vectors veca = hati+2hatj+3hatk, vec b =...

Vectors `veca = hati+2hatj+3hatk, vec b = 2hati-hatj+hatk and vecc= 3hati+hatj+4hatk` are so placed that the end point of one vector is the starting point of the next vector. Then the vectors are

A

not coplanar

B

coplanar but cannot form a triangle

C

coplanar and form a triangle

D

coplanar and can form a right angled triangle.

Verified by Experts

The correct Answer is:

B

Note that a+b=c

Similar Questions

Explore conceptually related problems

If vectors veca =hati +2hatj -hatk, vecb = 2hati -hatj +hatk and vecc = lamdahati +hatj +2hatk are coplanar, then find the value of (lamda -4) .

The vector veca = hati + hatj + (m + 1) hatk , vecb = hati + hatj + m hatk.vecc = hati - hatj + m hatk are coplanar for :

Show that the vectors 2hati-3hatj+4hatk and -4hati+6hatj-8hatk are collinear.

Find lambda, if the vectors veca=hati+3hatj+hatk , vecb=2hati-hatj-hatk and vecc=lambdahati+7hatj+3hatk are coplaner.

Find the sum of the vectors veca=hati-2hatj+hatk,vecb=-2hati+4hatj+5hatkandvecc=hati-6hatj-7hatk .

If veca=hati+hatj+hatk, vecb=4hati+3hatj+4hatk and vecc=hati+alphahatj+betahatk are linearly dependent vectors and |vecc|=sqrt(3) then:

Show that the vectors hati-hatj-hatk,2hati+3hatj+hatk and 7hati+3hatj-4hatk are coplanar.

If the vectors 2hati-hatj+hatk,hati+2hatj-3hatk and 3hati+ahatj+5hatk are coplanar, the prove that a=-4.

If the vectors 4hati+11hatj+mhatk,7hati+2hatj+6hatk and hati+5hatj+4hatk are complanar then m=